Coefficient of Discharge when Outflow is Considered Calculator

✖Reservoir Discharge is the uncontrolled spillway discharge.ⓘ Reservoir Discharge [Qh]			+10% -10%
✖Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖Effective Length of the Spillway Crest is the length used for the discharge passing over a spillway.ⓘ Effective Length of the Spillway Crest [L_e]			+10% -10%
✖Head over Weir is the stream or river to raise the water level or divert its flow.ⓘ Head over Weir [H]			+10% -10%

✖Coefficient of Discharge is ratio of actual discharge to theoretical discharge.ⓘ Coefficient of Discharge when Outflow is Considered [C_d]

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Coefficient of Discharge when Outflow is Considered Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Discharge = (Reservoir Discharge/((2/3)*sqrt(2*Acceleration due to Gravity)*Effective Length of the Spillway Crest*((Head over Weir^3)/2)))
C_d = (Qh/((2/3)*sqrt(2*g)*L_e*((H^3)/2)))
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Coefficient of Discharge - Coefficient of Discharge is ratio of actual discharge to theoretical discharge.
Reservoir Discharge - (Measured in Cubic Meter per Second) - Reservoir Discharge is the uncontrolled spillway discharge.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Effective Length of the Spillway Crest - (Measured in Meter) - Effective Length of the Spillway Crest is the length used for the discharge passing over a spillway.
Head over Weir - (Measured in Meter) - Head over Weir is the stream or river to raise the water level or divert its flow.

STEP 1: Convert Input(s) to Base Unit

Reservoir Discharge: 131.4 Cubic Meter per Second --> 131.4 Cubic Meter per Second No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Effective Length of the Spillway Crest: 5 Meter --> 5 Meter No Conversion Required
Head over Weir: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_d = (Qh/((2/3)*sqrt(2*g)*L_e*((H^3)/2))) --> (131.4/((2/3)*sqrt(2*9.8)*5*((3^3)/2)))

Evaluating ... ...

C_d = 0.659560769120834

STEP 3: Convert Result to Output's Unit

0.659560769120834 --> No Conversion Required

FINAL ANSWER

0.659560769120834 ≈ 0.659561 <-- Coefficient of Discharge

(Calculation completed in 00.021 seconds)

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Head over Spillway when Outflow is Considered

LaTeX Go Head over Weir = (Reservoir Discharge/((2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*(Effective Length of the Spillway Crest/2)))^(1/(3))

Coefficient of Discharge when Outflow is Considered

LaTeX Go Coefficient of Discharge = (Reservoir Discharge/((2/3)*sqrt(2*Acceleration due to Gravity)*Effective Length of the Spillway Crest*((Head over Weir^3)/2)))

Effective Length of Spillway Crest when Outflow is Considered

LaTeX Go Effective Length of the Spillway Crest = Reservoir Discharge/((2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Head over Weir^3/2)

Outflow in Spillway

LaTeX Go Reservoir Discharge = (2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Effective Length of the Spillway Crest*Head over Weir^3/2

Coefficient of Discharge when Outflow is Considered Formula

LaTeX Go

Coefficient of Discharge = (Reservoir Discharge/((2/3)*sqrt(2*Acceleration due to Gravity)*Effective Length of the Spillway Crest*((Head over Weir^3)/2)))
C_d = (Qh/((2/3)*sqrt(2*g)*L_e*((H^3)/2)))

What is Spillway?

A spillway is a structure used to provide the controlled release of flows from a dam or levee into a downstream area, typically the riverbed of the dammed river itself.

How to Calculate Coefficient of Discharge when Outflow is Considered?

Coefficient of Discharge when Outflow is Considered calculator uses Coefficient of Discharge = (Reservoir Discharge/((2/3)*sqrt(2*Acceleration due to Gravity)*Effective Length of the Spillway Crest*((Head over Weir^3)/2))) to calculate the Coefficient of Discharge, The Coefficient of Discharge when Outflow is Considered formula is defined as the ratio of the actual discharge to the theoretical discharge. Coefficient of Discharge is denoted by C_d symbol.

How to calculate Coefficient of Discharge when Outflow is Considered using this online calculator? To use this online calculator for Coefficient of Discharge when Outflow is Considered, enter Reservoir Discharge (Qh), Acceleration due to Gravity (g), Effective Length of the Spillway Crest (L_e) & Head over Weir (H) and hit the calculate button. Here is how the Coefficient of Discharge when Outflow is Considered calculation can be explained with given input values -> 0.659561 = (131.4/((2/3)*sqrt(2*9.8)*5*((3^3)/2))).

FAQ

What is Coefficient of Discharge when Outflow is Considered?

The Coefficient of Discharge when Outflow is Considered formula is defined as the ratio of the actual discharge to the theoretical discharge and is represented as C_d = (Qh/((2/3)*sqrt(2*g)*L_e*((H^3)/2))) or Coefficient of Discharge = (Reservoir Discharge/((2/3)*sqrt(2*Acceleration due to Gravity)*Effective Length of the Spillway Crest*((Head over Weir^3)/2))). Reservoir Discharge is the uncontrolled spillway discharge, Acceleration due to Gravity is acceleration gained by an object because of gravitational force, Effective Length of the Spillway Crest is the length used for the discharge passing over a spillway & Head over Weir is the stream or river to raise the water level or divert its flow.

How to calculate Coefficient of Discharge when Outflow is Considered?

The Coefficient of Discharge when Outflow is Considered formula is defined as the ratio of the actual discharge to the theoretical discharge is calculated using Coefficient of Discharge = (Reservoir Discharge/((2/3)*sqrt(2*Acceleration due to Gravity)*Effective Length of the Spillway Crest*((Head over Weir^3)/2))). To calculate Coefficient of Discharge when Outflow is Considered, you need Reservoir Discharge (Qh), Acceleration due to Gravity (g), Effective Length of the Spillway Crest (L_e) & Head over Weir (H). With our tool, you need to enter the respective value for Reservoir Discharge, Acceleration due to Gravity, Effective Length of the Spillway Crest & Head over Weir and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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